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Finding the Third Proportional to 979.17 and 2,065.92

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Solution

The third proportional to 979.17 and 2,065.92 is: 4,358.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.17 : 2,065.92 = 2,065.92 : x
  2. Step 2: Convert to fraction form
    979.17/2,065.92 = 2,065.92/x
  3. Step 3: Cross multiply
    979.17x = 2,065.92 × 2,065.92
  4. Step 4: Simplify right side
    979.17x = 4,268,033.19
  5. Step 5: Solve for x
    x = 4,268,033.19/979.17
  6. Step 6: Final answer
    x = 4,358.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.